Olivia had a total of 450 pink and brown balls. She used
45 of her pink balls and bought another 46 brown balls. The number of brown balls she had then become
13 the number of pink balls. How many less brown balls than pink balls did she have at first?
| |
Pink balls |
Brown balls |
| Before |
5x3 |
|
| Change |
- 4x3 |
+ 46 |
| After |
1x3 |
|
| Comparing balls in the end |
3x1 |
1x1 |
| |
Pink balls |
Brown balls |
| Before |
15 u |
1 u - 46 |
| Change |
- 12 u |
+ 46 |
| After |
3 u |
1 u |
The number of pink balls in the end is repeated.
LCM of 1 and 3 is 3.
Total number of pink balls and brown balls
= 15 u + 1 u - 46
= 16 u - 46
16 u - 46 = 450
16 u = 450 + 46
16 u = 496
1 u = 496 ÷ 16 = 31
Number of less brown balls than pink balls at first
= 15 u - (1 u - 46)
= 14 u + 46
= 14 x 31 + 46
= 480
Answer(s): 480
